A small polished glass ball P of mass mrall = 20 g moves on the inside smooth surface of a spherical bowl of internal radius r = 25 cm. The object rotates with constant angular speed w, in a horizontal circle which is at a depth of r/2 below the centre of the bowl. It is required to determine: a) The magnitude of Normal reaction acting on object P; b) The linear speed and the time it takes the small ball to do a full rotation of its circular path.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter10: Motion In A Noninertial Reference Frame
Section: Chapter Questions
Problem 10.4P
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A small polished glass ball P of mass mrall = 20 g moves on the inside smooth
surface of a spherical bowl of internal radius r = 25 cm. The object rotates with
constant angular speed w, in a horizontal circle which is at a depth of r/2 below
the centre of the bowl.
It is required to determine:
a) The magnitude of Normal reaction acting on object P;
b) The linear speed and the time it takes the small ball to do a full rotation of
its circular path.
Transcribed Image Text:A small polished glass ball P of mass mrall = 20 g moves on the inside smooth surface of a spherical bowl of internal radius r = 25 cm. The object rotates with constant angular speed w, in a horizontal circle which is at a depth of r/2 below the centre of the bowl. It is required to determine: a) The magnitude of Normal reaction acting on object P; b) The linear speed and the time it takes the small ball to do a full rotation of its circular path.
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